In this paper, we designed the Antenna on a Novel substrate material, which is used to resonate the high frequency in the range of Terahertz. The Antenna has been made up of the model of the microstrip antenna. The Nanoantenna designed and executed in the software HFFS simulation by using different shapes. The simulation result shows the increase in bandwidth as well as the reduction in loss response and we, get the frequency range of 5THZ-10THZ this can be used for various applications such as security, research, flexible electronic devices, remote detection, sensing and image applications, energy conservation devices and communication devices.